Gem had $350 less than Luis. Luis spent 0.8 of his money and Gem spent 0.4 of her money. In the end, Luis and Gem had the same amount of money left. Find the amount of money Gem had at first.
| |
Gem |
Luis |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Luis's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Gem's amount left
= 1 -
25 =
35 The amount that Luis and Gem each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Luis's amount =
35 of Gem's amount
315 of Luis's amount =
35 of Gem's amount
Amount that Gem had less than Luis
= 15 u - 5 u
= 10 u
10 u = 350
1 u = 350 ÷ 10 = 35
Amount that Gem had at first
= 5 u
= 5 x 35
= $175
Answer(s): $175
